Suppose that we have measured four data points (1,1,1), (1,2,0), (3,-1,0), (0,0, 1) and the our model asserts that the points should lie on a single plane not passing the origin. Use least squares method to find a best approximation of the plane. [10]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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Suppose that we have measured four data points
(1,1,1), (1,2,0), (3,-1,0), (0,0, 1)
and the our model asserts that the points should lie on a single plane not passing the origin.
Use least squares method to find a best approximation of the plane.
[10]
Transcribed Image Text:Suppose that we have measured four data points (1,1,1), (1,2,0), (3,-1,0), (0,0, 1) and the our model asserts that the points should lie on a single plane not passing the origin. Use least squares method to find a best approximation of the plane. [10]
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